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Minchanka [31]
2 years ago
5

A rectangle has a perimeter of 24 ft. Following a dilation, the new perimeter of the

Mathematics
1 answer:
nasty-shy [4]2 years ago
4 0

Answer:

it has increased by 1/2 so the scale factor would either be 3/2 or 1.5 or something

Step-by-step explanation:

You might be interested in
A circle has a radius of 6 in. The circumscribed equilateral triangle will have an area of:
Ket [755]

Answer:

216

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Hannah buys 2/3 pound of roast beef. She uses 1/4 pound to make sandwiches for lunch. How much roast beef does she have left?
Vanyuwa [196]
First we need to make both fractions equal to each other, and that means having to have the denominators the same.

What both 3 and 12 easily go into is 12.

So we need to make both fractions have a denominator of 12, so we multiply.

2/3 * 4/4 = 8 / 12

1/4 * 3/3 = 3 / 12

Now, we know that she has 8 / 12 pounds, and she uses 3 / 12 of it, so now we subtract to find how much she has left.

8 - 3 = 5

Out of the 12 pounds of roast beef, she now has 5 / 12 left.
7 0
3 years ago
Read 2 more answers
there are n counters in a bag. 4 of the counters are red and the rest are blue. Ross takes a counter from the bag at random and
Ainat [17]

Answer: n = 10.

Step-by-step explanation:

In the bag, we have n counters.

4 of the counters are red.

the rest are blue, then we have:

(n - 4) blue counters.

Now, the probability that Ross takes a blue counter from the bag is equal to the quotient between the number of blue counters (n - 4) and the total number of counters, n

Then the probability is:

p1 = (n - 4)/n

Now he draws another, and it must be blue again, then we can calculate the probability in the same way as above, but he already take a blue counter, so the number of blue counters is (n - 5) and the total number of counters is (n - 1)

The probability of this event is:

p2 = (n - 5)/(n - 1)

The joint probability (the probability that Ross takes two blue counters) is equal to the product of the individual probabilities, and we know that this is equal to 1/3, then we have the equation:

1/3 = ( (n - 4)/n)*((n - 5)/(n - 1))

Now let's solve this for n.

n*(n - 1)/3 = (n - 4)*(n - 5)

(n^2 - n)/3 = n^2 - 4*n - 5*n + 20

n^2 - n = 3*(n^2 - 9*n + 20)

n^2 - n = 3*n^2 - 27*n + 60

0 = (3*n^2 - n^2) - 27*n + n + 60

0 = 2*n^2 - 26*n + 60

The two solutions of this equation can be found with Bhaskara's equation:

n = \frac{-(-26) +- \sqrt{(-26)^2 - 4*2*60} }{2*2} = \frac{26+- 14}{4}

Then the two solutions are:

n = (26 - 14)/4 = 3

This is not an option, because we know for sure that we have 4 red counters, then this option can be discarded.

The other solution is:

n = (26 + 14)/4 = 40/4 = 10

Then we have n = 10, 10 counters in total.

4 0
3 years ago
Is the following relation a function? ​
Xelga [282]

Answer:

No

Step-by-step explanation:

It does not pass the vertical line test

I hope this helps you :)

-KeairaDickson

5 0
3 years ago
Question 10 of 10 Which of the binomials below is a factor of this trinomial? x² + 3x - 4 O A. X+8 O B. x² + 4 O c. x-4 O D. X+4
ollegr [7]

Step-by-step explanation:

Since x² + 3x - 4 = (x + 4)(x - 1), the correct answer is D.

8 0
3 years ago
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